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computational geo with regular nonagon

Source: 2022 Czech-Polish-Slovak Match Junior, team p5 CPSJ

September 3, 2022
geometrynonagon

Problem Statement

Given a regular nonagon A1A2A3A4A5A6A7A8A9A_1A_2A_3A_4A_5A_6A_7A_8A_9 with side length 11. Diagonals A3A7A_3A_7 and A4A8A_4A_8 intersect at point PP. Find the length of segment PA1P A_1.